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On permutations avoiding 1243, 2134, and another 4-letter pattern

David Callan

David Callan

Department of Statistics University of Wisconsin Madison,Wisconsin, USA
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Callan, David
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Toufik Mansour

Toufik Mansour

Department of Mathematics University of Haifa, 3498838Haifa, Israel
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Mansour, Toufik
  
Jul 14, 2017
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Published Online: Jul 14, 2017
Page range: 11 - 21
Received: Sep 14, 2016
DOI: https://doi.org/10.1515/puma-2015-0019
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© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

We enumerate permutations avoiding 1243, 2134, and a third 4-letter pattern τ, a step toward the goal of enumerating avoiders for all triples of 4-letter patterns. The enumeration is already known for all but three patterns τ, which are treated in this paper.

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English
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Computer Sciences, Theoretical Computer Sciences, Mathematics, Analysis, Differential Equations and Dynamical Systems, Business and Economics, Mathematics and Statistics for Economists, Mathematics
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